I'm aware of certain groups of skiers that advocate a centered position, but for competition mogul skiing the goal is to pressure the shins, and it does have real physical benefits, because it increases pressure on the tip of the ski. Olympic mogul skiers will tell you to pressure the shins for short radius turns. You can turn sharper by pressuring the tip. Also, the tip digging in can provide speed control on the backside of the bump. One way to visualize it is to imagine that the ski is tipped with a steering angle at the beginning of the turn. If you can apply pressure to the tip it will bite and bend. Once bent, the ski will arc according to that bent radius. I believe your analysis is entirely based on sidecut, and that's an ideal approximation to a good carved turn, but ultimately in real skiing there are many factors that control a turn. If you just want to do perfect RR track turns with a carver ski on the groomed, then centered is best, but if you want to try to get lots of different types of performance out of the ski based on different circumstances, then you may want to apply shin pressure at times. If you want to do quick short radius turns with speed control on a mogul ski, then you definitely want continuous shin pressure.